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- Year 9
Multiples of 10 involving negative exponents
I can write any integer in a range of forms.
- Year 9
Multiples of 10 involving negative exponents
I can write any integer in a range of forms.
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Lesson details
Key learning points
- A positive exponent tells you how many identical values must be multiplied together.
- Dividing by 10^n is the same as multiplying by its reciprocal.
- A negative exponent tells you how many reciprocals of the base must be multiplied together.
- a^(−3) = 1/a^3
Keywords
Exponential form - When a number is multiplied by itself multiple times, it can be written more simply in exponential form.
Common misconception
A negative exponent implies that the entire value is negative.
Refer back to the table showing the structure of how the negative exponents occur and highlight that none of the decimal values are negative.
To help you plan your year 9 maths lesson on: Multiples of 10 involving negative exponents, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 9 maths lesson on: Multiples of 10 involving negative exponents, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
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The assessment exit quiz will test your pupils' understanding of the key learning points.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.A prime number is an integer greater than one with exactly factors.
Q2.Which of the following products only use prime numbers?
Q3.Write 300 as a product of its prime factors.
Q4.Use the fact that 60 = 2² × 3 × 5 to write 300 as a product of its prime factors.
Q5.Use the fact that 60 = 2² × 3 × 5 to write 30 as a product of its prime factors.
Q6.If 52 = 2² × 13 and 175 = 5² × 7, which of the following is the most useful arrangement to calculate 175 × 52?
Assessment exit quiz
6 Questions
Q1.A number written in exponential form represents a repeated ...
Q2.Match each fraction to its equivalent exponential form.
$${1}\over{10}$$ -
$$10^{-1}$$
$${1}\over{100}$$ -
$$10^{-2}$$
$${1}\over{1000}$$ -
$$10^{-3}$$
$${1}\over{10 000}$$ -
$$10^{-4}$$
$${1}\over{100 000}$$ -
$$10^{-5}$$
$${1}\over{1 000 000}$$ -
$$10^{-6}$$
Q3.Match each decimal to its equivalent exponential form.
$$0.002$$ -
$$2\times10^{-3}$$
$$0.00004$$ -
$$4\times10^{-5}$$
$$0.2$$ -
$$2\times10^{-1}$$
$$0.005$$ -
$$5\times10^{-3}$$
$$0.000005$$ -
$$5\times10^{-6}$$
$$0.0004$$ -
$$4\times10^{-4}$$
Q4.$$3\times10^{-2}+2\times10^{-5}+8\times10^{-6}$$ represents the number
Q5.Which of the following is not an alternative way of writing 2400?
Q6.Which of the following is not an alternative way of writing 12 000?